oj.uz

Submission #231742

# Submission time Handle Problem Language Result Execution time Memory
231742 2020-05-14T15:02:08 Z kshitij_sodani Boat (APIO16_boat) C++17
9 / 100
 1044 ms 23544 KB 
#include <bits/stdc++.h>
#include <iostream>
using namespace std;
typedef int64_t llo;
#define mp make_pair
#define a first
#define b second
#define pb push_back
llo n,aa,bb;
map<llo,llo> dd;
llo si[2001];
llo mod=1000000007;
vector<llo> cc;
vector<pair<llo,llo>> it;
llo fac[501];
llo fac2[501];
llo pre[2001][501];
llo pre2[2001][501];
llo com[501][501];
llo dp[501][2001];
llo ind2=0;

llo mod2(llo ee,llo ff){
	if(ff==0){
		return 1;
	}
	llo ans=mod2(ee,ff/2);
	ans*=ans;
	ans%=mod;
	if(ff%2==1){
		ans*=ee;
		ans%=mod;
	}
	return ans;
}
void comp(){
	fac[0]=1;
	for(llo i=1;i<501;i++){
		fac[i]=fac[i-1]*i;
		fac[i]%=mod;
	}
	for(llo i=0;i<501;i++){
		fac2[i]=mod2(fac[i],mod-2);
	}
}
void ncr(){
	for(llo i=0;i<n+1;i++){
		for(llo j=0;j<=i;j++){
			com[i][j]=fac2[j]*fac2[i-j];
			com[i][j]%=mod;
			com[i][j]*=fac[i];
			com[i][j]%=mod;
		}
	}
}
void comp2(){
	fac[0]=1;
	for(llo i=0;i<ind2;i++){
		llo cur=1;
		pre[i][0]=0;
		for(llo j=1;j<n+1;j++){
			if(j<=si[i]){
				cur*=mod2(j,mod-2);
				cur%=mod;
				cur*=(si[i]-j+1);
				cur%=mod;
				pre[i][j]=cur;
			}
			else{
				pre[i][j]=0;
			}
		}		
	}
	for(llo i=0;i<ind2;i++){
		for(llo j=1;j<n+1;j++){
			pre2[i][j]=0;
			int l=0;
			for(llo k=1;k<=j;k++){
				pre2[i][j]+=pre[i][k]*com[j-1][k-1];
				l+=1;
				if(l==4){
					l=0;
					pre2[i][j]%=mod;
				}
			}
		}
	}
}

int main(){
	cin>>n;
	for(llo i=0;i<n;i++){
		cin>>aa>>bb;
		cc.pb(aa);
		cc.pb(bb);
		it.pb({aa,bb});
	}
	comp();//factorial
	ncr();//computing iCj for i and j from 1 to n
	sort(cc.begin(),cc.end());
	for(llo i=0;i<cc.size();i++){
		if(i<cc.size()-1 and cc[i]==cc[i+1]){
			continue;
		}
		dd[cc[i]]=ind2;
		ind2+=1;

		si[dd[cc[i]]]=1;
		if(i<cc.size()-1){
			if(cc[i]<cc[i+1]-1){
				si[ind2]=cc[i+1]-cc[i]-1;
				ind2+=1;
			}
		}
	}
	comp2();
	for(llo i=0;i<n;i++){
		it[i].a=dd[it[i].a];
		it[i].b=dd[it[i].b];
	}

	for(llo i=0;i<n;i++){
		for(llo j=0;j<ind2;j++){
			dp[i][j]=0;
		}
	}
	for(llo j=0;j<ind2;j++){
		if(j>=it[0].a and j<=it[0].b){
			dp[0][j]=si[j];
		}
		if(j>0){
			dp[0][j]+=dp[0][j-1];
		}
		dp[0][j]%=mod;
	}
	for(llo i=1;i<n;i++){
		for(llo j=it[i].a;j<=it[i].b;j++){
			llo cot=1;
			int l=0;
			for(llo k=i-1;k>=0;k--){
				if(j>0){
					dp[i][j]+=(dp[k][j-1])*pre2[j][cot];
					if(l==4){
						dp[i][j]%=mod;
						l=0;
					}
					l+=1;

				}
				if(it[k].a<=j and j<=it[k].b){
					cot+=1;
				}
			}
			dp[i][j]+=pre2[j][cot];
			dp[i][j]%=mod;
		}

		for(llo j=1;j<ind2;j++){
			dp[i][j]+=dp[i][j-1];
			dp[i][j]%=mod;
		}
		
	}
	llo ans=0;
	for(llo i=0;i<n;i++){
			ans+=dp[i][ind2-1];
			ans%=mod;
	}
	cout<<ans<<endl;







	
	
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:101:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(llo i=0;i<cc.size();i++){
              ~^~~~~~~~~~
boat.cpp:102:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(i<cc.size()-1 and cc[i]==cc[i+1]){
      ~^~~~~~~~~~~~
boat.cpp:109:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(i<cc.size()-1){
      ~^~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 703 ms 16120 KB Output is correct
2 Correct 706 ms 16120 KB Output is correct
3 Correct 706 ms 16192 KB Output is correct
4 Correct 705 ms 16120 KB Output is correct
5 Correct 708 ms 16120 KB Output is correct
6 Correct 704 ms 16120 KB Output is correct
7 Correct 710 ms 16200 KB Output is correct
8 Correct 708 ms 16120 KB Output is correct
9 Correct 703 ms 16248 KB Output is correct
10 Correct 708 ms 16120 KB Output is correct
11 Correct 707 ms 16248 KB Output is correct
12 Correct 702 ms 16248 KB Output is correct
13 Correct 706 ms 16280 KB Output is correct
14 Correct 705 ms 16120 KB Output is correct
15 Correct 706 ms 16120 KB Output is correct
16 Correct 132 ms 6392 KB Output is correct
17 Correct 144 ms 6528 KB Output is correct
18 Correct 137 ms 6392 KB Output is correct
19 Correct 143 ms 6520 KB Output is correct
20 Correct 138 ms 6520 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 703 ms 16120 KB Output is correct
2 Correct 706 ms 16120 KB Output is correct
3 Correct 706 ms 16192 KB Output is correct
4 Correct 705 ms 16120 KB Output is correct
5 Correct 708 ms 16120 KB Output is correct
6 Correct 704 ms 16120 KB Output is correct
7 Correct 710 ms 16200 KB Output is correct
8 Correct 708 ms 16120 KB Output is correct
9 Correct 703 ms 16248 KB Output is correct
10 Correct 708 ms 16120 KB Output is correct
11 Correct 707 ms 16248 KB Output is correct
12 Correct 702 ms 16248 KB Output is correct
13 Correct 706 ms 16280 KB Output is correct
14 Correct 705 ms 16120 KB Output is correct
15 Correct 706 ms 16120 KB Output is correct
16 Correct 132 ms 6392 KB Output is correct
17 Correct 144 ms 6528 KB Output is correct
18 Correct 137 ms 6392 KB Output is correct
19 Correct 143 ms 6520 KB Output is correct
20 Correct 138 ms 6520 KB Output is correct
21 Incorrect 1044 ms 23544 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 26 ms 4608 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 703 ms 16120 KB Output is correct
2 Correct 706 ms 16120 KB Output is correct
3 Correct 706 ms 16192 KB Output is correct
4 Correct 705 ms 16120 KB Output is correct
5 Correct 708 ms 16120 KB Output is correct
6 Correct 704 ms 16120 KB Output is correct
7 Correct 710 ms 16200 KB Output is correct
8 Correct 708 ms 16120 KB Output is correct
9 Correct 703 ms 16248 KB Output is correct
10 Correct 708 ms 16120 KB Output is correct
11 Correct 707 ms 16248 KB Output is correct
12 Correct 702 ms 16248 KB Output is correct
13 Correct 706 ms 16280 KB Output is correct
14 Correct 705 ms 16120 KB Output is correct
15 Correct 706 ms 16120 KB Output is correct
16 Correct 132 ms 6392 KB Output is correct
17 Correct 144 ms 6528 KB Output is correct
18 Correct 137 ms 6392 KB Output is correct
19 Correct 143 ms 6520 KB Output is correct
20 Correct 138 ms 6520 KB Output is correct
21 Incorrect 1044 ms 23544 KB Output isn't correct
22 Halted 0 ms 0 KB -